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Nonlinear dynamics and stability of a delayed leukemia model with real-world applications. [PDF]

Sci Rep
Raza A, Alsulami M, Rocha EM, Lampart M, Sumelka W, Alruwaili F.   +5 more
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Friction-Induced Thermal Effects in an FGM Layer in Contact with a Homogeneous Layer. [PDF]

Materials (Basel)
Topczewska K.
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Functional equation modeling of adaptive operant-control systems via Matkowski fixed point theory. [PDF]

PLoS One
Monica S, Ramesh Kumar D.
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The work of Pierre Magal on differential equations, functional analysis and mathematical biology. [PDF]

J Math Biol
Demongeot J, Hillen T, Ruan S, Webb G.
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Fractional spatiotemporal Hahnfeldt tumor model with convergence analysis and optimal control. [PDF]

Sci Rep
Can E.
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Entropic Dynamics Approach to Quantum Electrodynamics. [PDF]

Entropy (Basel)
Caticha A.
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Fock state probability changes in open quantum systems. [PDF]

Eur Phys J C Part Fields
Burrage C, Käding C.
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On Contraction of Functional Differential Equations

SIAM Journal on Control and Optimization, 2018
In this paper, the authors present a novel approach to the contraction and the global ex- ponential stability of equilibria and periodic orbits of functional differential equations of the form \[ \frac{dx(t)}{dt}=f(t,x(t),x_t),\quad t\geq\sigma , \] where \(x\in\mathbb{R}^n\).
Pham Huu Anh Ngoc, Hieu Trinh
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On the functional differential equations with “maximums”

Applicable Analysis, 1983
By means of a theorem on surjectivity of a continuous accretive everywhere defined operator the authors prove the existence and uniqueness of the global solution for the problem \(y'(t)=F(t,\max \{y(s): s\in [p(t),q(t)]\}\), max\(\{\) y'(s): \(s\in [u(t),v(t)]\})\), \(t>0\), \(y(t)=\psi (t)\), \(y'(t)=\psi '(t)\), \(t\leq 0\).
Angelov, V. G., Bajnov, D. D.
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